Use the method of completing the square to solve the quadratic equation. x 2 $-$ 16 x = 65
A) x = 8 $-$ i , x = 8 + i
B) x = 8 $-$ i , x = 8 + i .
C) x = 8 $-$ i , x = 8 + i.

Question

Quizplus · Accepted Answer

We start by rearranging the terms:
x^2 - 16x = 65
We then add and subtract (16/2)^2 = 64 to both sides:
x^2 - 16x + 64 - 64 = 65
(x - 8)^2 = 129
Taking the square root of both sides, we get:
x - 8 = ±√129
x = 8 ± √129
Therefore, the solution is x = 8 - √129 and x = 8 + √129, which corresponds to choice C.

Use the Method of Completing the Square to Solve the Quadratic